FIRST: Answer the following questions:
1. At what angle is the length of the tangent line 1/2?
2. At what angle is the length of the tangent line 1? 2? 3? 4?
3. What happens when a is negative?
4. The values of tangent are increasing linearly. Are the angles that give those values also increasing linearly?
5. On a separate sheet of paper, plot these points on a graph. What does your graph look like?
NEXT:
On the tab to the left of the graph, there is a point Q listed there that follows the graph of . Click on the circle next to point Q to make it visible. Then right click on Q and select "Trace On". As you adjust the slider, what does the resulting graph look like?
- Is the tangent graph even or odd? Why does this make sense?
- What are the asymptotes of this graph? Why would those be asymptotes?
- What else do you notice about this graph?